Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance
文献类型：期刊论文
| 作者 | Chen, Jianyi1; Zhang, Zhitao2
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2016-04-05 |
| 卷号 | 260期号:7页码:6017-6037 |
| 关键词 | Nonlinear wave equation Periodic solutions Minimax principle |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2015.12.026 |
| 英文摘要 | In this paper, we consider the periodic-Dirichlet problem for a forced nonlinear wave equation with resonance u(tt) - Delta u = mu u + a(t, x)vertical bar u vertical bar(p-1)u in a n-dimensional ball, Under some suitable assumptions on mu, p and a (t, x), we prove the existence of infinitely many radially symmetric time-periodic solutions for the problem by variational methods. (C) 2015 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11271353] ; National Natural Science Foundation of China[11331010] ; Research Foundation for Advanced Talents of Qingdao Agricultural University[6631114328] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000374510900019 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22692]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Zhitao |
| 作者单位 | 1.Qingdao Agr Univ, Sci & Informat Coll, Qingdao 266109, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Jianyi,Zhang, Zhitao. Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,260(7):6017-6037. |
| APA | Chen, Jianyi,&Zhang, Zhitao.(2016).Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance.JOURNAL OF DIFFERENTIAL EQUATIONS,260(7),6017-6037. |
| MLA | Chen, Jianyi,et al."Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance".JOURNAL OF DIFFERENTIAL EQUATIONS 260.7(2016):6017-6037. |
入库方式： OAI收割
来源：数学与系统科学研究院
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